Can anyone please help me how to find the solution for: $$ \frac{\mathrm dy}{\mathrm dx}=(x-5y)^{\frac{1}{3}}+ \frac{1}{5}. $$ I found the singular curve for it, which is $y=\dfrac{x}{5}$ (please correct me if I'm wrong), but I can not find the family of solution for it. I tried every method that I know. Please help me.
Thank you in advance for your assistance.